A company has found that the marginal cost​ (in thousands of​ dollars) to produce x central air conditioning units is C'(x)= (72x)/((6x^2)+e)​, where x is the number of units produced.​(a) Find the cost​ function, given that the company incurs a fixed cost of ​$14,000 even if no units are built.​(b) The company will seek a new source of investment income if the cost is more than ​$18,000 to produce 5 units. Should they seek this new​ source?
​(a) Find the cost​ function, given that the company incurs a fixed cost of ​$14,000 even if no units are built.
​(b) The company will seek a new source of investment income if the cost is more than ​$18,000 to produce 5 units. Should they seek this new​ source? And what is the cost of producing 5 units in $?